Quadratic Forms on Complex Random Matrices and Multi-Antenna Channel Capacity

Abstract

Quadratic forms on complex random matrices and their joint eigenvalue densities are derived for applications in information theory. These densities are represented by complex hypergeometric functions of matrix arguments which can be expressed in terms of complex zonal polynomials. The derived densities are used to evaluate the most important information-theoretic measures the so-called ergodic channel capacity and capacity versus outage of multiple-input multiple-output (MIMO) Rayleigh-distributed wireless communication channels. Both correlated and uncorrelated channels are considered and the corresponding information-theoretic measure formulas are derived. It is shown how channel correlation degrades the communication system capacity.

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Document Details

Document Type
Technical Report
Publication Date
Mar 16, 2004
Accession Number
ADA432629

Entities

People

  • R. Vaillancourt
  • Tharmalingam Ratnarajah

Organizations

  • University of Ottawa

Tags

Communities of Interest

  • Sensors

DTIC Thesaurus Topics

  • Channel Capacity
  • Communication Channels
  • Communication Systems
  • Computational Science
  • Eigenvalues
  • Electronic Mail
  • Hypergeometric Functions
  • Information Theory
  • Mathematics
  • Multiple Input Multiple Output
  • Polynomials
  • Probability
  • Probability Distributions
  • Signal Processing
  • Statistics
  • Wireless Communications
  • Wishart Matrices

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Radio communications and signal processing.
  • Statistical inference.